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Finding the Fourth Proportional to 1,998.89, 2,993.09 and 1,410.72

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Solution

The fourth proportional to 1,998.89, 2,993.09 and 1,410.72 is: 2,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.89 : 2,993.09 = 1,410.72 : x
  2. Step 2: Convert to fraction form
    1,998.89/2,993.09 = 1,410.72/x
  3. Step 3: Cross multiply
    1,998.89x = 2,993.09 × 1,410.72
  4. Step 4: Simplify right side
    1,998.89x = 4,222,393.65
  5. Step 5: Solve for x
    x = 4,222,393.65/1,998.89
  6. Step 6: Final answer
    x = 2,112.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.